The given vectors can form sides of a triangle ^i−^j−^k,−2^i+3^j−^k,^i−2^j+2^k
First we have to check if the vectors are collinear. Clearly they are not as you cannot represent one vector as a scalar multiple of any other. Next we will check if sum of them is 0.
They do satisfy the triangle law but with one of the vectors in negative direction which shouldn’t be effecting the possibility of forming a triangle.
∴The vectors can from the sides of a triangle.